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Simplifying 7n + 10 = 5n + 40 + -10 Reorder the terms: 10 + 7n = 5n + 40 + -10 Reorder the terms: 10 + 7n = 40 + -10 + 5n Combine like terms: 40 + -10 = 30 10 + 7n = 30 + 5n Solving 10 + 7n = 30 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 10 + 7n + -5n = 30 + 5n + -5n Combine like terms: 7n + -5n = 2n 10 + 2n = 30 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + 2n = 30 + 0 10 + 2n = 30 Add '-10' to each side of the equation. 10 + -10 + 2n = 30 + -10 Combine like terms: 10 + -10 = 0 0 + 2n = 30 + -10 2n = 30 + -10 Combine like terms: 30 + -10 = 20 2n = 20 Divide each side by '2'. n = 10 Simplifying n = 10
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